Finite lattice Bethe ansatz systems and the Heun equation
| dc.creator | Dorey, Patrick | |
| dc.creator | Suzuki, Junji | |
| dc.creator | Tateo, Roberto | |
| dc.date | 2003-08-07 | |
| dc.date | 2003-10-17 | |
| dc.date.accessioned | 2026-07-07T10:49:42Z | |
| dc.date.available | 2026-07-07T10:49:42Z | |
| dc.description | We study the P"oschl-Teller equation in complex domain and deduce infinite families of TQ and Bethe ansatz equations, classified by four integers. In all these models the form of T is very simple, while Q can be explicitly written in terms of the Heun function. At particular values there is a interesting interpretation in terms of finite lattice spin (L-2)/2 XXZ quantum chain with Delta= cos(pi/L) (for free-free boundary conditions), or Delta=-cos(pi/L) (for periodic boundary conditions). This result generalises the findings of Fridkin, Stroganov and Zagier. We also discuss the continuous (field theory) limit of these systems in view of the so-called ODE/IM correspondence. | |
| dc.description | 18+1 pages, 4 figures, typo corrected, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0308053 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0308053 | |
| dc.identifier | J.Phys.A37:2047-2062,2004 | |
| dc.identifier | doi:10.1088/0305-4470/37/6/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184309 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Finite lattice Bethe ansatz systems and the Heun equation | |
| dc.type | text |